National Rent Control: White House Proposal Economic Analysis
The idea of national rent control has never been enacted, usually left to the state and city level. Landlords tend to be overwhelmingly against these measures, and Brookings Institute reports that tenants ultimately pay higher rents in the long run because the measures lower the total number of rentals in a market and make it less affordable for landlords to provide new housing.
President Biden is not sure that this measure would pass the House and Senate and may be done as an executive order, but this may not be legal.